Page 1 of 5 Find an antiderivative of the given function. 1) x-3 +1 ANX 1) 2) cos TIX + 6 sin- 2) Find the most general antiderivative. 3 ) S (t - Vo) at 3) 4) | sin 0(cot 0 + csc 0) de 4) 5) From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary. Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length, and show the 4 rectangles associated with the Riemann sum _ f(xi) Ax 6) f(x)=x2-1, [0, 8], right-hand endpoint 6) y 56+ 52- 48 44- 40- 32-+ 28- 24+ 20 - 16- 12-+ 8- Find the formula and limit as requested. (do not use the Fundamental Theorem of Calculus) 7) For the function f(x) = 2x2+ 2, find a formula for the Riemann sum obtained by dividing the 7_ interval [0, 3] into n equal subintervals using right endpoints. Then take the limit as n to calculate the area under the curve over [0, 3].Answer Key Testname: MATH 60 EXAM 3 PRACTICE 1) - 1 41 1/2 2x2 2 2 ) - sin TOx - 36 cos 3 13) 23/2_67/6 - D + 0+ 0 UIS ( 5) 20 in. x 20 in. x 5 in.; 2000 in3 6) y 56- 52 - 48 - 44- 40- 36 + 32- 28 - 24 + 20 + 16- 8 - 7) 6+ 108n3 +162n2 +54n ; Area =24 6n3 8) -252 9) 3x2 sin (x3) 10) 16 15 11) 36 12) 2 (*3 +3) 3/2 + C 13 ) + C 5 ( 8 + cost ) 5 14) s = -2 cos 4t - 10t+ 14 15) 15 16) 3 17) 16 19) 2 + 40 2 20) 47( 4